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Back to Lesson 3-2 Name Name 3-1B page 2 3-2A Lesson Master Questions on SPUR Objectives See pages 199–201 for objectives. SKILLS Objective A In 14–16, use the number lines below. In 1–8, compare, using >, <, or =. < = > 5. − > 7. 16 __ 3 1. 5 9 3. __ 12 24 3 __ 32 25 __ 24 = > = < − __46 16 2. − __ 2.7 ___ 3.6 4. 3 __38 7 6. __ 31 10 − __ 96 28 ___ 124 4 8. __ 64 35 __ 36 13 __ 4 3 __ 32 1 107 and 108 14. a. What is the interval between each tick mark on the top number line? b. List the endpoints of the highlighted section on the top line. c. Label the dots on the middle line. b. List the endpoints of highlighted section of the middle number line. 0.1 107.3 and 107.4 c. Label the dots on the bottom line. 2·2·2·2·3·3 2·2·2·2·5·7 b. Find the prime factorization of 560. 9 __ 0.01 107.31 and 107.32 b. List the endpoints of the highlighted section on the bottom number line. 17. Which letter (if any) corresponds to the given number? y 5 4 3 2 3 25 9 a. 10. __ 21 B 1 B none c. (−4.5, −1.5) e. (−3.5, 2.7) none 56 11. __ a. 35 27 47,000 13. _____ 1,000 1 __ b. _8 7 a. 5 b. 1,000 b. = 47 47 __ 1 20 44 14. Does ___ = __ ? Justify your answer. 187 85 44 20 __ Yes; Sample: ___ 187 and 85 rewritten in lowest 20 4 44 ___ __ terms are each equal to __ 17 . So 187 = 85 . In 15 and 16, write two fractions equivalent to the given fraction. Samples: 31 62 20 __ 4 __ __ − __ 14 28 18 , − 90 16. , 15. − D 434 ___ 196 4 then you could say that 24 25 a. (3.9, 2.2) 7 17. Fill in the blanks with the smallest whole numbers possible. If 548 out of 685 dentists recommend Slide Floss for their patients, 2 3 4 5 x C _3 b. 2 __ 9 A 1 25 24 23 22 21 21 E F 22 23 35 In 10–13, a. write the greatest common factor of the numerator and denominator, then b. rewrite the fraction in lowest terms. 25 12. ___ a. 675 16. a. What is the interval between each tick mark on the bottom number line? G Objective G 144 c. Rewrite ___ in lowest terms. 560 15. a. What is the interval between each tick mark on the middle number line? H PROPERTIES 9. a. Find the prime factorization of 144. 5 out of dentists recommend it. G F C b. (−3.9, 2.7) d. (−4.5, −1.7) f. (3.9, −2.2) Transition Mathematics UCSMP_SMP08_NL_TM1_TR1_C03_157-1159 159 159 5/23/07 11:48:52 AM Name Transition Mathematics 160 UCSMP_SMP08_NL_TM1_TR1_C03_157-1160 160 5/23/07 11:48:53 AM Name 3-2B Lesson Master SKILLS Objective A: Order and compare decimals and fractions. In 1–16, compare, using >, <, or =. = < 3. − > 5. 7. 5 = >− 9. − = 11. = 13. < 15. 21 __ 3 1. 7 7 __ 8 3 __ 4 47 __ 8 5 __ 27 14 __ 27 121 ___ 99 2 __ 16 > 4. = < 6. 8. 3 > − <− 10. − 12. − =− <− 14 − > 16. 42 __ 81 132 ___ 108 32 __ 64 16 __ 32 44 21. ___ 121 5.5 ___ 8.8 2 __ 3 125 23. ___ 700 1 __ 6 1 __ 7 PROPERTIES 5 __ 27 14 __ 81 27 __ 14 108 ___ 56 _3 5 11 a. 25 a. a. 2,600 a. 52,000 25. _____ 2,600 7 __ 2 125 ___ 25 page 2 In 19–26, a. write the greatest common factor of the numerator and denominator, then b. rewrite the fraction in lowest terms. 15 19. __ 35 1 __ 2 16 __ 81 3-2B 42 __ 6 2. 14 48 __ 64 48 __ 64 27 ___ 3.6 Questions on SPUR Objectives 7 28 20. __ 63 b. 4 __ 11 5 __ b. 28 270 24. ___ 210 b. 20 15,000 26. _____ 65,000 b. 7 6 a. 30 a. 5,000 a. a. 30 22. __ 42 b. b. b. b. _4 9 _5 7 _9 7 3 __ 13 In 27 and 28, are the two fractions equal? Justify your answer. 22 11 = __ ? Justify your answer. 27. Does __ 65 33 100 ___ 25 No; Sample: In lowest terms, 3 __ 21 22 __ _1 65 ≠ 3 60 28. Does __45 = __ ? Justify your answer. 75 Objective G: Use the Equal-Fractions Yes; Sample: Property to rewrite fractions. 17. a. Find the prime factorization of 80. Copyright © Wright Group/McGraw-Hill b. Find the prime factorization of 150. 80 c. Rewrite ___ in lowest terms. 150 18. a. Find the prime factorization of 126. b. Find the prime factorization of 420. 126 c. Rewrite ___ in lowest terms. 420 2·2·2·2·5 2 · 3 ·__8 5 · 5 15 2·3·3·7 2 · 2 · 3 ·__ 5·7 3 15 60 _4 • __ __ 5 15 = 75 In 29–32, write two fractions equivalent to the given fraction. 5 29. __7 66 31. __ 78 10 __ 14 33 __ 20 __ 28 11 __ , 39 , 5 30. − __ 11 210 32. − ___ 270 13 Sample: 15 − __ 33 105 − ___ 135 , 30 − __ 66 35 − __ 45 , In 33 and 34, fill in the blanks with the smallest whole numbers possible. 33. In a poll of 960 students, 840 said they eat dessert with their lunch. You could say that out of students eat dessert with their lunch. 10 7 8 34. A veterinarian reported that 291 of her 485 clients bought flea preventatives for their cats and dogs. Therefore, out of clients buy flea preventatives. 5 Transition Mathematics UCSMP_SMP08_NL_TM1_TR1_C03_157-1161 161 161 5/23/07 11:48:53 AM 162 3 Transition Mathematics UCSMP_SMP08_NL_TM1_TR1_C03_157-1162 162 5/23/07 11:48:53 AM Transition Mathematics SMP08_NL_TM1_TR_C01-06_A1-A42.inA15 A15 A15 5/24/07 12:39:48 PM